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Finding the Fourth Proportional to 817.75, 1,128.72 and 552.57

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Solution

The fourth proportional to 817.75, 1,128.72 and 552.57 is: 762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.75 : 1,128.72 = 552.57 : x
  2. Step 2: Convert to fraction form
    817.75/1,128.72 = 552.57/x
  3. Step 3: Cross multiply
    817.75x = 1,128.72 × 552.57
  4. Step 4: Simplify right side
    817.75x = 623,696.81
  5. Step 5: Solve for x
    x = 623,696.81/817.75
  6. Step 6: Final answer
    x = 762.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.